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Finding the Fourth Proportional to 11,771.94, 16,245.48 and 6,466.98

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Solution

The fourth proportional to 11,771.94, 16,245.48 and 6,466.98 is: 8,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.94 : 16,245.48 = 6,466.98 : x
  2. Step 2: Convert to fraction form
    11,771.94/16,245.48 = 6,466.98/x
  3. Step 3: Cross multiply
    11,771.94x = 16,245.48 × 6,466.98
  4. Step 4: Simplify right side
    11,771.94x = 105,059,194.25
  5. Step 5: Solve for x
    x = 105,059,194.25/11,771.94
  6. Step 6: Final answer
    x = 8,924.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.